Presentation 2011-03-04
Dual universality of hash functions and its applications to quantum cryptography
Toyohiro TSURUMARU, Masahito HAYASHI,
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Abstract(in English) In this paper, we introduce the concept of dual universality of hash functions and present its applications to various quantum and classical communication models including cryptography. We begin by establishing the one-to-one correspondence between a linear function family F and a code family C, and thereby defining ε-almost dual universal_2 hash functions, as a generalization of the conventional universal_2 hash functions. Then we give a security proof for the Bennett-Brassard 1984 protocol, where the Shor-Preskill-type argument is used, but nevertheless ε-almost dual universal_2 functions can be used for privacy amplification.
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Keyword(in English) quantum key distribution / hash function / privacy amplification / dual code
Paper # IT2010-113,ISEC2010-117,WBS2010-92
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Committee ISEC
Conference Date 2011/2/24(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Dual universality of hash functions and its applications to quantum cryptography
Sub Title (in English)
Keyword(1) quantum key distribution
Keyword(2) hash function
Keyword(3) privacy amplification
Keyword(4) dual code
1st Author's Name Toyohiro TSURUMARU
1st Author's Affiliation Mitsubishi Electric Corporation, Information Technology R&D Center()
2nd Author's Name Masahito HAYASHI
2nd Author's Affiliation Graduate School of Information Sciences, Tohoku University:Centre for Quantum Technologies, National University of Singapore
Date 2011-03-04
Paper # IT2010-113,ISEC2010-117,WBS2010-92
Volume (vol) vol.110
Number (no) 443
Page pp.pp.-
#Pages 8
Date of Issue